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3 years ago

3(16 - 4 x 3) + 7 =???

Mathematics

1 answer:

Nesterboy [21]3 years ago

7 0

Answer:

-36x+55

Step-by-step explanation:

3(16−4x(3))+7

=(3)(16)+(3)(−12x)+7

=48+−36x+7

next you have to combine like terms

=48+−36x+7

=(−36x)+(48+7)

=−36x+55

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Find the missing section. Answers must be in fraction form.

frozen [14]

Answer:

$\frac{1}{10}$

Step-by-step explanation:

We have a circle that is split in three sections, two of which we know and we are asked to find the third missing section.

For the circle, we know that 4/5 and 1/10 is fit. Now we need the last one, to solve, we need to get the same denominator and see how much is missing.

Since 1/10 is our highest denominator, let's change 4/5 to have 10 as a denominator. Which would be through multiplying 5 to get 10.

What times 5 equals 10?

Now multiply both numerator and denominator by 2 to get our portion.

$\frac{4*2}{5*2}$

$\frac{8}{10}$

Now we have the same denominator, let's add our two fractions and see how much we have left.

8/10 + 1/10

9/10

We have 1/10 missing, therefore 1/10 is the answer.

3 0

3 years ago

Vertex form is f(x)=a(x-p)^2 +q. How do i determine a?

slamgirl [31]

Y1 is the simplest parabola. Its vertex is at (0,0) and it passes thru (2,4). This is enough info to conclude that y1 = x^2.

y4, the lower red graph, is a bit more of a challenge. We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).

Let's try this: assume that the general equation for a parabola is
y-k = a(x-h)^2, where (h,k) is the vertex. Subst. the known values,

-3-(-4) = a(2-0)^2. Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.

The equation of parabola y4 is y+4 = (1/4)x^2

Or you could elim. the fraction and write the eqn as 4y+16=x^2, or

4y = x^2-16, or y = (1/4)x - 4. Take your pick! Hope this helps you find "a" for the other parabolas.

8 0

4 years ago

B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.

finlep [7]

Answer:

$\text{Probability}=\frac{1}{3}$

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{2}{6}$

$\text{Probability}=\frac{1}{3}$

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3 years ago

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Natali [406]

Hmmm I think it’s...

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3 years ago

A checking account is overdrawn by $13 on both Friday and Saturday. what is the balance of the bank account?

sergiy2304 [10]

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3 years ago